Atkin-Lehner |
2- 3- 5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
47430bd |
Isogeny class |
Conductor |
47430 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1505280 |
Modular degree for the optimal curve |
Δ |
-8.5104186580157E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,889357,304386707] |
[a1,a2,a3,a4,a6] |
j |
106714890886921360919/116740996680600000 |
j-invariant |
L |
6.1108267178476 |
L(r)(E,1)/r! |
Ω |
0.12730888996117 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15810i1 |
Quadratic twists by: -3 |